考虑情感的三策略囚徒困境博弈模型与合作演化  

A Three-strategy Prisoner’s Dilemma Game Model Considering Emotions and Its Cooperative Evolution

作　　者：谢能刚 代亚运 王萌 王璐 暴伟[1] XIE Neng-gang;DAI Ya-yun;WANG Meng;WANG Lu;BAO Wei(School of Management Science and Engineering, Anhui University of Technology, Anhui, Ma’anshan, 243002, China;Business School of Anhui University of Technology, Anhui, Ma’anshan, 243002, China)

机构地区：[1]安徽工业大学管理科学与工程学院,安徽马鞍山243002 [2]安徽工业大学商学院,安徽马鞍山243002

出　　处：《运筹与管理》2022年第3期93-99,共7页Operations Research and Management Science

基　　金：教育部人文社会科学项目(19YJAZH098);安徽高校自然科学重点项目(KJ2019A0068)。

摘　　要：基于社会比较情境下强者和弱者之间产生的同情、欺凌、漠然、尊敬、嫉妒和畏惧等6种情感,建立个体情感特征的定量表达方法。考虑情感驱动的三策略囚徒困境博弈模型,设计了6种情感与合作、背叛及孤独3个博弈策略之间的对应关系和定量表达机制。采用二维格子网络、随机网络和无标度网络等三种网络模型进行演化博弈仿真分析。结果显示:较大的背叛成功诱惑促进了采取背叛策略的情感类型发展演化和繁荣稳定,系统的最终演化状态都体现出程度不同的负性情感特征;空间网络结构对情感类型和合作行为的演化存在重要影响,无标度网络结构能够导致具有一定良性特征的情感类型演化稳定,并带来较高的合作水平;从社会比较及由此产生的对比效应和同化效应的角度,对三种网络下不同的情感演化状态进行了相应阐释。Based on the six emotions of sympathy,bullying,indifference,respect,jealousy and fear between the strong and the weak in the context of social comparison,a quantitative expression method of individual emotional characteristics is established.Considering the three-strategy prisoner’s dilemma game model driven by emotion,the corresponding relationship and quantitative expression mechanism between the six emotions and the three game strategies of cooperation,betrayal and loneliness are designed.The evolutionary game simulation analysis is carried out by using three network models:two-dimensional lattice network,random network and scale-free network.The results show that when the temptation of successful betrayal is large,it promotes the development,evolution,prosperity and stability of the emotion types adopting betrayal strategy,and the final evolution state of the system reflects the characteristics of negative emotion to varying degrees;Spatial network structure has an important influence on the evolution of emotion types and cooperative behavior.Scale-free network structure can lead to the stable evolution of emotion types with certain benign characteristics and bring a high level of cooperation;From the perspective of social comparison and the resulting comparison effect and assimilation effect,the different emotional evolution states under the three networks is explained.

关 键 词：情感 三策略博弈模型 复杂网络 演化分析 

分 类 号：O225[理学—运筹学与控制论]